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Displaying 121 – 131 of 131

Asymptotic spectral analysis of growing graphs: odd graphs and spidernets

Daisuke Igarashi, Nobuaki Obata (2006)

Banach Center Publications

Two new examples are given for illustrating the method of quantum decomposition in the asymptotic spectral analysis for a growing family of graphs. The odd graphs form a growing family of distance-regular graphs and the two-sided Rayleigh distribution appears in the limit of vacuum spectral distribution of the adjacency matrix. For a spidernet as well as for a growing family of spidernets the vacuum distribution of the adjacency matrix is the free Meixner law. These distributions are calculated...

Asymptotic spectral distributions of distance k-graphs of large-dimensional hypercubes

Nobuaki Obata (2011)

Banach Center Publications

We derive the asymptotic spectral distribution of the distance k-graph of N-dimensional hypercube as N → ∞.

Asymptotic variance of functionals of discrete-time Markov chains via the Drazin inverse.

Spitzner, Dan J., Boucher, Thomas R. (2007)

Electronic Communications in Probability [electronic only]

Asymptotics for open-loop window flow control.

Berger, Arthur W., Whitt, Ward (1994)

Journal of Applied Mathematics and Stochastic Analysis

Asymptotics for Products of a Random Number of Partial Sums

Marcin Przystalski (2009)

Bulletin of the Polish Academy of Sciences. Mathematics

We consider products of a random number of partial sums of independent, identically distributed, positive square-integrable random variables. We show that the distribution of these products is asymptotically lognormal.

Asymptotics for products of sums and $U$ -statistics.

Rempala, Grzegorz, Wesolowski, Jacek (2002)

Electronic Communications in Probability [electronic only]

Asymptotics for the $L^{p}$ -deviation of the variance estimator under diffusion

Paul Doukhan, José R. León (2004)

ESAIM: Probability and Statistics

We consider a diffusion process $X_{t}$ smoothed with (small) sampling parameter $ε$ . As in Berzin, León and Ortega (2001), we consider a kernel estimate ${\hat{α}}_{ε}$ with window $h (ε)$ of a function $α$ of its variance. In order to exhibit global tests of hypothesis, we derive here central limit theorems for the $L^{p}$ deviations such as $\frac{1}{\sqrt{h}} {(\frac{h}{ε})}^{\frac{p}{2}} ({∥{\hat{α}}_{ε} - α∥}_{p}^{p} - 𝔼 {∥{\hat{α}}_{ε} - α∥}_{p}^{p}) .$

Asymptotics for the Lp-deviation of the variance estimator under diffusion

Paul Doukhan, José R. León (2010)

ESAIM: Probability and Statistics

We consider a diffusion process Xt smoothed with (small) sampling parameter ε. As in Berzin, León and Ortega (2001), we consider a kernel estimate ${\hat{α}}_{ε}$ with window h(ε) of a function α of its variance. In order to exhibit global tests of hypothesis, we derive here central limit theorems for the Lp deviations such as $\frac{1}{\sqrt{h}} {(\frac{h}{ε})}^{\frac{p}{2}} ({∥{\hat{α}}_{ε} - α∥}_{p}^{p} - I E {∥{\hat{α}}_{ε} - α∥}_{p}^{p}) .$

Asymptotics of the allele frequency spectrum associated with the Bolthausen-Sznitman coalescent.

Basdevant, Anne-Laure, Goldschmidt, Christina (2008)

Electronic Journal of Probability [electronic only]

Asymptotics of the regression quantile basic solution under misspecification

Keith Knight (2008)

Applications of Mathematics

We consider the asymptotic distribution of covariate values in the quantile regression basic solution under weak assumptions. A diagnostic procedure for assessing homogeneity of the conditional densities is also proposed.

Au sujet du contenu probabiliste d'un lemme d'Henri Poincaré

L. Gallardo (1981)

Annales scientifiques de l'Université de Clermont. Mathématiques

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